442215620 has 192 divisors, whose sum is σ = 1223147520. Its totient is φ = 130291200.

The previous prime is 442215563. The next prime is 442215629. The reversal of 442215620 is 26512244.

It is a self number, because there is not a number n which added to its sum of digits gives 442215620.

It is not an unprimeable number, because it can be changed into a prime (442215629) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2816582 + ... + 2816738.

It is an arithmetic number, because the mean of its divisors is an integer number (6370560).

Almost surely, 2^442215620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442215620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611573760).

442215620 is an abundant number, since it is smaller than the sum of its proper divisors (780931900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

442215620 is a wasteful number, since it uses less digits than its factorization.

442215620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 442215620 is about 21028.9234151442. The cubic root of 442215620 is about 761.8650064090.

Adding to 442215620 its reverse (26512244), we get a palindrome (468727864).

The spelling of 442215620 in words is "four hundred forty-two million, two hundred fifteen thousand, six hundred twenty".